Search a number
-
+
68482524600 = 233352717197179
BaseRepresentation
bin111111110001111000…
…000110010110111000
320112202122221200222000
4333301320012112320
52110223011241400
651243242101000
74643026566060
oct776170062670
9215678850860
1068482524600
1127052666376
12113327aa760
1365c4c47109
1434592843a0
151bac2b3600
hexff1e065b8

68482524600 has 1536 divisors, whose sum is σ = 308551680000. Its totient is φ = 13586227200.

The previous prime is 68482524571. The next prime is 68482524601. The reversal of 68482524600 is 642528486.

68482524600 is a `hidden beast` number, since 68 + 4 + 8 + 2 + 524 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68482524601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 866867361 + ... + 866867439.

It is an arithmetic number, because the mean of its divisors is an integer number (200880000).

Almost surely, 268482524600 is an apocalyptic number.

68482524600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68482524600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840000).

68482524600 is an abundant number, since it is smaller than the sum of its proper divisors (240069155400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68482524600 is a wasteful number, since it uses less digits than its factorization.

68482524600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 68482524600 in words is "sixty-eight billion, four hundred eighty-two million, five hundred twenty-four thousand, six hundred".